As already seen in ChapterREF  the QFT treatment of General Relativity is not something new. The evaluation of 1-loop corrections to the Newtonian potential has been done in [1]}, and studied for different spins in [2]}, as well as using new scattering amplitudes techniques in [3]}. An increasing interest has received also the evaluation of the bending angle under a massive object [4]}, [5]}, [5]}, [7]}, [8]}, [9]}, which has paved the way to new analytical studies of the amplitudes including also massless particles. GWs detection require precision predictions, and in the last few years a systematic framework for PM computations has been developed, which uses modern amplitudes techniques such as double-copy and generalized unitarity. The \(1PM\)  and \(2PM\)  corrections have been evaluated in [10]}, [11]}, the \(3PM\)  in [12]}, [13]}, [14]}, [15]}, [16]} and the \(4PM\)  in [17]}, [18]}, [19]}.
